Calculus II For Dummies

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John Wiley & Sons, Jan 24, 2012 - Mathematics - 368 pages
1 Review
An easy-to-understand primer on advanced calculus topics

Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight! Calculus II For Dummies offers expert instruction, advice, and tips to help students get a handle on intermediate calculus topics. Best of all, it includes example problems and explanations that enhance your understanding of this complex subject.

  • Calculus II 101 — get an easy-to-follow introduction to the definite integral, the Reimann sum equation, and the indefinite integral

  • Strike that, reverse it — discover everything you need to know about reversing the differential process to solve a limited set of indefinite integrals using anti-differentiation

  • Go big with trig — find out how to use a whole host of trig functions to integrate powers of sines and cosines, and then tangents and secants, and finally cotangents and cosecants

  • Conquer the Mount Everest of Math — move on to intermediate integration, infinite series, and the math you can expect in higher-level Calculus courses

Open the book and find:

  • A need-to-know refresher on Pre-Calculus and Calculus I

  • The "Aha!" insights in Calculus II

  • Useful test-taking tips

  • The 4-1-1 on area problems

  • Plain-English explanations of integrals

  • Everything you need to know about the infinite series

  • Help on solving area problems

  • How to use calculus to solve 3-D problems

Learn to:

  • Make sense of advanced calculus topics

  • Get ahead of the curve with easy-to-understand explanations of complicated subject matter

  • Score high in your Calculus II class

  

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LibraryThing Review

User Review  - plaws595 - LibraryThing

I used this book to refresh my understanding of integrals and calculus two in general. I'm not sure how effective it would be at teaching you the subject from scratch, but it is an decent resource if you forgot a few things. Read full review

Contents

Introduction
1
Introduction to Integration
4
Introduction to Integration
9
An Aerial View of the Area Problem
11
Dispelling Ghosts from the Past A Review of PreCalculus
37
From Definite to Indefinite The Indefinite Integral
73
Indefinite Integrals
103
Making a Fast Switch Variable Substitution
117
Intermediate Integration Topics
195
Pump Up the Volume Using Calculus to Solve 3D Problems
219
Infinite Series
241
Where Is This Going? Testing
261
Where Is This Going? Testing for Convergence and Divergence 261 Chapter 13 Dressing Up Functions with the Taylor Series
283
Advanced Topics
307
Multivariable Calculus
309
Whats So Different about Differential Equations?
329

Recognizing When to Use Substitution
123
Integration by Parts
135
Trig Substitution Knowing All the TriAngles
151
When All Else Fails Integration with Partial Fractions
173
The Part of Tens
343
Ten Tips to Take to the Test
351
Copyright

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About the author (2012)

Mark Zegarelli, a math tutor and writer with 25 years of professional experience, delights in making technical information crystal clear — and fun — for average readers. He is the author of Logic For Dummies and Basic Math & Pre-Algebra For Dummies.

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